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Finding the Fourth Proportional to 14,051.76, 19,388.61 and 8,083.68

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Solution

The fourth proportional to 14,051.76, 19,388.61 and 8,083.68 is: 11,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.76 : 19,388.61 = 8,083.68 : x
  2. Step 2: Convert to fraction form
    14,051.76/19,388.61 = 8,083.68/x
  3. Step 3: Cross multiply
    14,051.76x = 19,388.61 × 8,083.68
  4. Step 4: Simplify right side
    14,051.76x = 156,731,318.88
  5. Step 5: Solve for x
    x = 156,731,318.88/14,051.76
  6. Step 6: Final answer
    x = 11,153.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.